A manufacturing company would like to investigate the effect of a new supplier of raw materialto their product. The company makes 4,000 of these items each day and the new supplier ismuch less expensive than their current supplier. If the rate of defects remains unchanged withthe new material, they will use the new material. For their analysis, they take a cluster sample of500 items made from the new supplier's material.The company knows their supplied product has a defect rate of 6.5%.Regardless of whether the conditions are met:What is the standard deviation of the sampling distribution?Report 4 decimals. Do not use % (ex. good answer is .0234)

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Answered: A manufacturing company would like to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Karrie studied the effects of coffee drinking and subsequent development of pancreatic cancer. She got the following results: Risk Ratio (RR) = 0.35 p-value = 0.065 What does RR of 0.35 tells you? A. There is higher risk for pancreatic cancer among coffee drinkers B. RR is not enough to estimate whether there is risk or not C. Coffee consumption is associated with pancreatic cancer D. There is lesser risk for pancreatic cancer among coffee drinkers
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 33 34 31 37 46 54 49 41 50 44 56 55 61 64 59 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two decimal…
A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat Crohn’s disease. The efficacy of the medication will not only be determined by the physical improvement of symptoms but will also be determined by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 2.9 mg/dL and the standard deviation for C-reactive protein concentrations among Crohn’s disease patients was previously documented at 10.1 mg/dL, how many patients should be recruited for each group of individuals in the study, assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group?
In elderly Americans, a new blood test is being developed to diagnose a particular disease. Suppose the sensitivity of this test is 80% and specificity is 70%. If it is known that 25% of them have the particular disease, then calculate the negative predictive value.
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A new analytical method to detect pollutants in water is being tested. This new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminates - organic pollutants, volatile solvents, and chlorinated compounds - instead of having to use a single test for each pollutant. The makers of the test claim that it can detect high levels of organic pollutants with 99.6% accuracy, volatile solvents with 99.91% accuracy, and chlorinated compounds with 89.4% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that the chlorinated compounds are present? Carry out all calculations exactly, then round the final…
A sleep researcher is assessing the impact of melatonin supplements on time to fall asleep for individuals with insomnia. She recruited 30 participants with insomnia and assigned 14 of them to take melatonin before sleeping. The researcher then recorded time to fall asleep (in minutes) for each participant. The researcher's hypothesis was that participants in the melatonin group would fall asleep faster than participants in the control group. The data collected are displayed below together with some descriptive statistics. Melatonin- 72, 59, 76, 64, 40, 51, 39, 69, 69, 78, 66, 100, 43, 45,59,64,51 M = 62.21 SD = 17.33 Control- 52, 80, 113, 111, 103, 96, 64, 56, 112, 102, 100, 102, 101, 58, 117, 101,80,111,96,56,102 M = 91.75 SD = 22.16 a) Does the researcher have enough evidence to reject the null hypothesis at an alpha level of .01? Follow the steps involved in hypothesis testing and make a decision regarding the null hypothesis based on the comparison between the critical value and…
A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat Crohn’s disease. The efficacy of the medication will not only be determined by the physical improvement of symptoms but will also be determined by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 2.9 mg/dL and the standard deviation for C-reactive protein concentrations among Crohn’s disease patients was previously documented at 10.1 mg/dL, how many patients should be recruited for each group of individuals in the study, assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group? Group of answer choices nfor the treatment group = 12 and n for the control group = 12 nfor the treatment group = 14 and n for the control group = 14…
A researcher is studying two types of medication that both treat hives. 18 out of the random sample of 201 adults given medication A still had hives 30 minutes after taking the medication. 22 out of another random sample of 212 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is less than the proportion of people who still had hives after medicine B. Use a 0.05 level of significance. The correct hypotheses are: O Ho: PA HA PA Ho: PA HA PA O Ho: PA HA PA = PB PB(claim) The p-value is: PB PB(claim) PB PB(claim) Since the level of significance is 0.05 the critical value is -1.645 (round to 3 places) The test statistic is: (round to 3 places)
Two groups, A and B, consist of 100 people each who have a disease. A serum is given to group A but not to group B (which is called the control). It is found that in groups A and B, 75 and 65 people, respectively, recover from the disease. At significant levels of (a) 0.01, (b) 0.05, test the hypothesis that the serum helps cure the disease.
There have been many studies recently concerning coffee drinking and cholesterol level. While it is known that several coffee-bean components can elevate blood cholesterol level, it is thought that a new type of paper coffee filter may reduce the presence of some of these components in coffee. The effect of the new filter on cholesterol level will be studied over a 10-week period using 300 nonsmokers who each drink 4 cups of caffeinated coffee per day. Each of these 300 participants will be assigned to one of two groups: the experimental group, who will only drink coffee that has been made with the new filter, or the control group, who will only drink coffee that has been made with the standard filter. Each participant’s cholesterol level will be measured at the beginning and at the end of the study. Describe an appropriate method for assigning the subjects to the two groups so that each group will have an equal number of subjects. In this study, the researchers chose to include a…
A researcher is studying two types of medication that both treat hives. 18 out of the random sample of 201 adults given medication A still had hives 30 minutes after taking the medication. 22 out of another random sample of 212 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is less than the proportion of people who still had hives after medicine B. Use a 0.05 level of significance. The correct hypotheses are: O Ho: PA HA PA Ho: PA HA PA O Ho: PA HA PA = PB PB(claim) The p-value is: PB PB(claim) PB PB(claim) Since the level of significance is 0.05 the critical value is -1.645 (round to 3 places) The test statistic is: (round to 3 places)

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